Single precision · 32 bit
Number and representation
Sign01 bit
Exponent100000018 bit
Fraction / mantissa0110000000000000000000023 bit
Bit editor
Edit the 32 bits directly
Interpretation
What do those bits mean?
5.5 = (−1)0 × 1.375 × 22
The error is calculated by comparing the requested decimal number with the value that can actually be stored in a 32-bit float. Try, for example 0.1.
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The converter shows the bits; the lesson explains normalization, bias 127, the implicit bit, special values and precision.